Problem: Igor the analyst has adopted n little bunnies. As we all know, bunnies love carrots. Thus, Igor has bought a carrot to be shared between his bunnies. Igor wants to treat all the bunnies equally, and thus he wants to cut the carrot into n pieces of equal area. 

Formally, the carrot can be viewed as an isosceles triangle with base length equal to 1 and height equal to h. Igor wants to make n - 1 cuts parallel to the base to cut the carrot into n pieces. He wants to make sure that all n pieces have the same area. Can you help Igor determine where to cut the carrot so that each piece have equal area?

<image> Illustration to the first example.

Input

The first and only line of input contains two space-separated integers, n and h (2 ≤ n ≤ 1000, 1 ≤ h ≤ 105).

Output

The output should contain n - 1 real numbers x1, x2, ..., xn - 1. The number xi denotes that the i-th cut must be made xi units away from the apex of the carrot. In addition, 0 < x1 < x2 < ... < xn - 1 < h must hold. 

Your output will be considered correct if absolute or relative error of every number in your output doesn't exceed 10 - 6.

Formally, let your answer be a, and the jury's answer be b. Your answer is considered correct if <image>.

Examples

Input

3 2


Output

1.154700538379 1.632993161855


Input

2 100000


Output

70710.678118654752

Note

Definition of isosceles triangle: <https://en.wikipedia.org/wiki/Isosceles_triangle>.

Solution (in JAVA):

Solution:
import java.io.InputStreamReader;
import java.io.BufferedReader;
import java.text.DecimalFormat;
import java.util.StringTokenizer;
public class tinkoffb {
    public static void main(String[]args)throws Exception
    {
        BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
        StringTokenizer st=new StringTokenizer(br.readLine());
        double n=Integer.parseInt(st.nextToken());
        double h=Integer.parseInt(st.nextToken());
        double area=(h)/2;
        double tan=h*2;
        DecimalFormat twoDForm = new DecimalFormat("#.########");
        for(double i=1;i<n;i++)
        {
             double carea=(area/n)*i;
            double ch=Math.sqrt(carea*tan);
            String rr=twoDForm.format(ch);
//            ch=Math.round(ch*1000000000);
//            System.out.printf("%.8f",ch);
            System.out.println(rr+"  ");
//            System.out.print(ch+" ");
            
        }
    }
}